The Holographic Conformal Manifold of 3d $\mathcal{N}=2$ $S$-fold SCFTs

Abstract

We employ a non-compact gauging of four-dimensional maximal supergravity to construct a two-parameter family of AdS${}_4$ J-fold solutions preserving $\mathcal{N}=2$ supersymmetry. All solutions preserve $\mathfrak{u}(1)\times \mathfrak{u}(1)$ global symmetry and in special limits we recover the previously known $\mathfrak{su}(2)\times \mathfrak{u}(1)$ invariant $\mathcal{N}=2$ and $\mathfrak{su}(2)\times \mathfrak{su}(2)$ invariant $\mathcal{N}=4$ J-fold solutions. This family of AdS${}_4$ backgrounds can be uplifted to type IIB string theory and is holographically dual to the conformal manifold of a class of three-dimensional $S$-fold SCFTs obtained from the $\mathcal{N}=4$ $T[\text{U}(N)]$ theory of Gaiotto-Witten. We find the spectrum of supergravity excitations of the AdS${}_4$ solutions and use it to study how the operator spectrum of the three-dimensional SCFT depends on the exactly marginal couplings.

30 pages, 3 figures

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• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• The maximal D=4 supergravities
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• New supersymmetric AdS4 type II vacua
• A new N=1 AdS4 Vacuum of Maximal Supergravity
• S-folds and holographic RG flows on the D3-brane
• Marginal operators and supersymmetry enhancement in 3d $S$-fold SCFTs

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• New N=1 AdS${}_4$ solutions of type IIB supergravity
• A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs
• Charting the Conformal Manifold of Holographic CFT${}_2$'s
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• Holographic CFTs on $Ad{S}_d\times S^n$ and conformal defects
• S-folds and $Ad{S}_3$ flows from the D3-brane
• Gauged $\mathcal{N}=3,D=4$ Supergravity: a new web of marginally connected vacua
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• The CFT Distance Conjecture and Tensionless String Limits in $\mathcal{N}=2$ Quiver Gauge Theories
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